7628274 has 48 divisors (see below), whose sum is σ = 17749368. Its totient is φ = 2359296.

The previous prime is 7628251. The next prime is 7628293. The reversal of 7628274 is 4728267.

7628274 is a `hidden beast` number, since 7 + 628 + 27 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7601049 + 27225 = 2757^2 + 165^2 .

It is a d-powerful number, because it can be written as 7⁶ + 6⁸ + 2⁵ + 8³ + 2⁷ + 7⁸ + 4⁸ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29554 + ... + 29810.

Almost surely, 2^7628274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7628274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874684).

7628274 is an abundant number, since it is smaller than the sum of its proper divisors (10121094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7628274 is a wasteful number, since it uses less digits than its factorization.

7628274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 376 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7628274 is about 2761.9330187389. The cubic root of 7628274 is about 196.8530258165.

The spelling of 7628274 in words is "seven million, six hundred twenty-eight thousand, two hundred seventy-four".